The Mechanical Evaluation of Expressions

@article{Landin1964TheME,
  title={The Mechanical Evaluation of Expressions},
  author={Peter J. Landin},
  journal={Comput. J.},
  year={1964},
  volume={6},
  pages={308-320}
}
This paper is a contribution to the "theory" of the activity of using computers. It shows how some forms of expression used in current programming languages can be modelled in Church's X-notation, and then describes a way of "interpreting" such expressions. This suggests a method, of analyzing the things computer users write, that applies to many different problem orientations and to different phases of the activity of using a computer. Also a technique is introduced by which the various… 

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References

SHOWING 1-10 OF 11 REFERENCES

Recursive functions of symbolic expressions and their computation by machine, Part I

A programming system called LISP (for LISt Processor) has been developed for the IBM 704 computer by the Artificial Intelligence group at M.I.T. The system was designed to facilitate experiments with

LISP 1.5 Programmer's Manual

The LISP language is designed primarily for symbolic data processing used for symbolic calculations in differential and integral calculus, electrical circuit theory, mathematical logic, game playing,

THE ELEMENTS OF MATHEMATICAL LOGIC

Word and Object

This edition offers a new preface by Quine's student and colleague Dagfinn Follesdal that describes the never-realized plans for a second edition of Word and Object, in which Quine would offer a more unified treatment of the public nature of meaning, modalities, and propositional attitudes.

The calculi of lambda-conversion

The description for this book, The Calculi of Lambda Conversion. (AM-6), will be forthcoming.

An ALGOL60 Translator for the XI

  • Automatic Programming Bulletin
  • 1962

and in Dijkstra's mechanism [4])

  • and in Dijkstra's mechanism [4])

Substitution Processes

  • Substitution Processes
  • 1962